2 citations · 3 across the 5 of their papers we have counts for
6 papers
Matrix factorization of quotient singularities of type A and D
Ayse Sharland, Meral Tosun
In this article, we extend the classical relationship between ADE singularities and their maximal Cohen-Macaulay modules to quotient singularities of types A and D. We identify pro…
Fitting Ideals without a Presentation
Ayse Sharland, Jacob Smith
In this article, we investigate alternative construction of Fitting ideals of pushforward modules for finite and holomorphic map-germs from an -dimensiona…
Examples of finitely determined map-germs of corank 3 supporting Mond's -type conjecture
Ayse Sharland
We give the first examples of finitely determined map-germs of corank 3 defined from 3-space to 4-space. We show that they support Mond's conjecture which states that the image Mil…
Triple Root Systems, Quasi-determinantal Quivers and Linear Free Divisors
K. Nakamoto, A. Sharland, M. Tosun
We start by constructing a new root system for rational triple singularities and determine the number of roots for each rational triple singularity. Then we show that, for each roo…
Nonisolated forms of rational triple point singularities of surfaces and their resolutions
Ayse Altintas, Gulen Cevik, Meral Tosun
The work is a detailed study of rational singularities of multiplicity 3 (RTP-singularities, for short). We give a list of nonisolated hypersurface singularities of which normalisa…
Examples of finitely determined map-germs of corank 2 from -space to -space
Ayse Altintas
We produce new examples supporting the Mond conjecture which can be stated as follows. The number of parameters needed for a miniversal unfolding of a finitely determined map-germ…